9
AssignmentMultiple Choice

Law of Sines and Law of Cosines — a Deeper Look

Question 9 • Precalculus

After forming two right triangles, which right triangle theorem did you have to use twice to solve for side lengths that were not in the final equation?

Answer
A
the tangent theorem
B
the Pythagorean theorem
C
the right triangle theorem
D
the cosine theorem

Explanation

The Pythagorean theorem relates the side lengths of a right triangle: a² + b² = c². After forming two right triangles, you would use this theorem in each triangle to find the side lengths needed for the final equation, even though those lengths do not appear in that equation. The correct choice is the Pythagorean theorem.

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